10121120112009 has 8 divisors (see below), whose sum is σ = 14205080859040. Its totient is φ = 6392286386496.

The previous prime is 10121120111987. The next prime is 10121120112041. The reversal of 10121120112009 is 90021102112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10121120112009 - 2¹³ = 10121120103817 is a prime.

It is a super-3 number, since 3×10121120112009³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121120112709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88781755312 + ... + 88781755425.

It is an arithmetic number, because the mean of its divisors is an integer number (1775635107380).

Almost surely, 2^{10121120112009} is an apocalyptic number.

10121120112009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10121120112009 is a deficient number, since it is larger than the sum of its proper divisors (4083960747031).

10121120112009 is a wasteful number, since it uses less digits than its factorization.

10121120112009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177563510759.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 10121120112009 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, nine".